Search a number
-
+
22201131111320 = 23573110127419239
BaseRepresentation
bin1010000110001000110101…
…00010001001001110011000
32220121101222222222110011002
411003010122202021032120
510402220404031030240
6115115020412524132
74450656503534420
oct503043242111630
986541888873132
1022201131111320
11708a4a0803767
1225a6889a80648
13c507332bb9c5
1456a77d109480
15287780766d15
hex14311a889398

22201131111320 has 256 divisors, whose sum is σ = 59541814886400. Its totient is φ = 7289890560000.

The previous prime is 22201131111241. The next prime is 22201131111337. The reversal of 22201131111320 is 2311113110222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22201131111292 and 22201131111301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2402975261 + ... + 2402984499.

It is an arithmetic number, because the mean of its divisors is an integer number (232585214400).

Almost surely, 222201131111320 is an apocalyptic number.

22201131111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201131111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29770907443200).

22201131111320 is an abundant number, since it is smaller than the sum of its proper divisors (37340683775080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22201131111320 is a wasteful number, since it uses less digits than its factorization.

22201131111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 22201131111320 its reverse (2311113110222), we get a palindrome (24512244221542).

The spelling of 22201131111320 in words is "twenty-two trillion, two hundred one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred twenty".